Algebra 1 - Graphing an inequality with test points - Cool Math

The video tutorial explains how to graph inequalities, focusing on the common pattern where the graph follows the direction of the inequality sign. However, this pattern does not apply when the variable is on the right side of the inequality. The tutorial emphasizes the importance of testing points to determine if they are true or false, and shading the graph accordingly. It also warns against relying on shortcuts, especially when the variable is on the right or negative, and stresses the need for careful analysis.

What is a common pattern observed when graphing inequalities with the variable on the left?

• The graph points in the direction of the inequality sign.

• The graph always points to the right.

• The graph points in the opposite direction of the inequality sign.

• The graph is always a straight line.

When the variable is on the right side of the inequality, what happens to the graph?

• It follows the direction of the inequality sign.

• It does not follow the direction of the inequality sign.

• It becomes a vertical line.

• It always points to the left.

How do you determine which points to shade on a graph of an inequality?

• Shade points that satisfy the inequality.

• Shade points that are outside the graph.

• Shade points that are false.

• Shade all points on the graph.

What should you do if the inequality is false for a point on the graph?

• Shade the point.

• Leave the point open.

• Move the point to the right.

• Erase the point.

Why is it important to be cautious with shortcuts in graphing inequalities?

• Shortcuts make the process longer.

• Shortcuts may not work if the variable is on the right or negative.

• Variables are always on the left side.

• Shortcuts always lead to correct answers.